Buy And Sell Stocks - K Transactions Allowed

easy
1. You are given a number n, representing the number of days.
2. You are given n numbers, where ith number represents price of stock on ith day.
3. You are given a number k, representing the number of transactions allowed.
3. You are required to print the maximum profit you can make if you are allowed k transactions at-most.
Note - There can be no overlapping transaction. One transaction needs to be closed (a buy followed by a sell) before opening another transaction (another buy).

Input Format

A number n .. n more elements A number k

Output Format

A number representing the maximum profit you can make if you are allowed a single transaction.

Constraints

0 <= n <= 20
0 <= n1, n2, .. <= 10
0 <= k <= n / 2

Notice

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Example

Input
6
9
6
7
6
3
8
1

Output
5
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Buy And Sell Stocks - Two Transactions Allowed

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